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3 cards from this section. Quick, good the night before a test.
Define a combinatorial proof.
Think about counting different ways to select objects.
What does C(n, k) represent?
Consider how many ways you can pick selections from a group.
What is a combinatorial proof?
Remember, it's about counting different ways to select items.
True or False: Pascal's identity connects different binomial coefficients.
Think about how the coefficients relate in a triangle.
Prove the combinatorial identity C(n, k) = C(n-1, k) + C(n-1, k-1) using a counting argument.
Think about different scenarios for a specific object.
Create a combinatorial proof for the formula C(n,r) * C(n-r,k) = C(n,k+r).
Visualize choosing from different subsets.
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